A simple and robust three-dimensional cracking-particle method without enrichment

Timon Rabczuk, Goangseup Zi, Stephane Bordas, Hung Nguyen-Xuan

Research output: Contribution to journalArticlepeer-review

737 Citations (Scopus)


A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko T., International Journal for Numerical Methods in Engineering, 2004) where the crack is modeled by a set of cracked segments. However, in contrast to the above mentioned paper, we do not introduce additional unknowns in the variational formulation to capture the displacement discontinuity. Instead, the crack is modeled by splitting particles located on opposite sides of the associated crack segments and we make use of the visibility method in order to describe the crack kinematics. We apply this method to several two- and three-dimensional problems in statics and dynamics and show through several numerical examples that the method does not show any "mesh" orientation bias.

Original languageEnglish
Pages (from-to)2437-2455
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Issue number37-40
Publication statusPublished - 2010 Aug

Bibliographical note

Funding Information:
The first author would like to thank the German Research Foundation (DFG) , Grant RA 1946/2-1 . The second author would like to thank the Agency for Defense Development (ADD) , Korea for Grant ADD-06-05-06 .

Copyright 2011 Elsevier B.V., All rights reserved.


  • Cohesive crack model
  • Dynamic fracture
  • Meshfree methods

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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